Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
108a12
Evaluate
3×a5(6a5)2a7
Remove the parentheses
3×a5(6a5)2×a7
Divide the terms
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Evaluate
a5(6a5)2
Factor the expression
a536a10
Reduce the fraction
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Calculate
a5a10
Use the product rule aman=an−m to simplify the expression
a10−5
Subtract the terms
a5
36a5
3×36a5×a7
Multiply the terms
108a5×a7
Multiply the terms with the same base by adding their exponents
108a5+7
Solution
108a12
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Find the excluded values
a=0
Evaluate
3×a5(6a5)2a7
To find the excluded values,set the denominators equal to 0
a5=0
Solution
a=0
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Find the roots
a∈∅
Evaluate
3×a5(6a5)2a7
To find the roots of the expression,set the expression equal to 0
3×a5(6a5)2a7=0
The only way a power can not be 0 is when the base not equals 0
3×a5(6a5)2a7=0,a=0
Calculate
3×a5(6a5)2a7=0
Divide the terms
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Evaluate
a5(6a5)2
Factor the expression
a536a10
Reduce the fraction
More Steps
Calculate
a5a10
Use the product rule aman=an−m to simplify the expression
a10−5
Subtract the terms
a5
36a5
(3×36a5)a7=0
Multiply the numbers
108a5×a7=0
Multiply the terms
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Evaluate
a5×a7
Use the product rule an×am=an+m to simplify the expression
a5+7
Add the numbers
a12
108a12=0
Rewrite the expression
a12=0
The only way a power can be 0 is when the base equals 0
a=0
Check if the solution is in the defined range
a=0,a=0
Solution
a∈∅
Show Solution